the act of eliminating.

the state of being eliminated.

Mathematics . the process of solving a system of simultaneous equations by using various techniques to remove the variables successively.

Sports . a game, bout, or match in a tournament in which an individual or team is eliminated from the competition after one defeat.

noun

cut , destruction , discard , displacement , dropping , ejection , eradication , exclusion , expulsion , extermination , omission , rejection , riddance , taking away , weeding out , withdrawal , clearance , liquidation , purge , removal , dumping , jettison , evacuation , excretion , purgation